Question

Factorise (x - 1)(x-2)(x+3)(x + 4) + 6
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Answer 1

Answer:

x⁴+4x³-7x²-22x+30

Step-by-step explanation:

(x²-2x-x+2) × (x+3) × (x+4) +6.

(x²-3x+2) × (x+3) × (x+4) +6

(x³+3x²-3x²-9x+2x+6) × (x+4) + 6

(x³-7x+6) × (x+4) +6

x⁴+4x³-7x²-28x+6x+24+6

x⁴+4x³-7x²-22x+30